The greatest problem with "public" schools

Do you, dear public, pay for those schools?
You do… you pay exactly «for» but not «to». The schools actually receive money from the govt, NOT from you. And you have no control over the money distribution. When the money are given to the schools they don't bear your scent anymore — these are «govt's money» at the moment. The govt decides who takes the money, and for these money, a school has to appease the govt, NOT you. These «public» schools are indeed the govt's schools.